Beta Real Estate assesses the potential costs due to natural disasters at various properties:

$$ No impact: Probability $=0\mathrm{.}70$

$$ Minor damage: Probability $=0\mathrm{.}20,$ Cost $=$ $$100,000$

$$ Significant damage: Probability $=0\mathrm{.}08,$ Cost $=$ $$500,000$

$$ Total loss: Probability $=0\mathrm{.}02,$ Cost $=$ $$2,000,000$

Calculate the expected cost of natural disasters for Beta Real Estate this year.

Group of answer choices

$$150,000$

$$90,000$

$$175,000$

$$100,000$